The obeation is \( (65 \times 0.06)+ \) 6 A store is having a sale with \( 10 \% \) off everything. a. Write an equation to show the sale price s of any item given its regular price \( r \). b. Does your equation represent a proportional relationship? Explain. \( \qquad \) constant, 14 reprosents a \( p \) 7 A store owner buys cell phones for \( \$ 40 \) and marks \( u \) the price by \( 25 \% \). Explain how to find the price at wl she sells the cell phones. \( \qquad \) \( \qquad \) 8 A video game that usually costs \( \$ 50 \) is on sale for \( \$ 3 \) What percent of the regular price is the discount? Show your work. Solution: \( \qquad \)
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In Exercises 1–10, write a mathematical expression for the quantity described verbally. Sale Price Sale price of an item marked $x$ dollars, if 40$\%$ is discounted from the marked price
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Multiple Discounts You have a $\$ 50$ coupon from the manufacturer that is good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 20$\%$ discount on all cell phones. Let $x$ represent the regular price of the cell phone. \begin{equation}\begin{array}{l}{\text { (a) Suppose only the } 20 \% \text { discount applies. Find a function }} \\ {f \text { that models the purchase price of the cell phone as a }} \\ {\text { function of the regular price } x \text { . }} \\ {\text { (b) Suppose only the } \$ 50 \text { coupon applies. Find a function } g} \\ {\text { that models the purchase price of the cell phone as a }} \\ {\text { function of the sticker price } x \text { . }} \\ {\text { (c) If you can use the coupon and the discount, then the pur- }} \\ {\text { chase price is either }(f \circ g)(x) \text { or }(g \circ f)(x), \text { depending }} \\ {\text { on the order in which they are applied to the price. Find }} \\ {\text { both }(f \circ g)(x) \text { and }(g \circ f)(x) . \text { Which composition gives }} \\ {\text { the lower price? }} \end{array}\end{equation}
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